Question

A regular tessellation is a tessellation that uses how many regular polygons to cover a surface completely?

Answer 1

Please see below.

Explanation:

A regular tessellation is a tessellation, which is made up of congruent regular polygons.

As the sides and angles of the regular polygon are all equivalent this means that the polygons put together are all the same size and shape.

Hence for this, each angle of the reguar polygon must be a factor of `360^@`. Now we have just equilateral triangles `60^@`, squares `90^@` and regular hexagon `120^@`, whose angles are a factor of `360^@`.

Hence, regular tessellation is possible with these only. However, if you include multiple type of regular polygons in the same tessellation possibilities increase. For detais see here.